Some Results on Summability of Random Variables

Abstract:
A convolution summability method introduced as an extension of the
random-walk method generalizes the classical Euler, Borel, Taylor and
Meyer-König type matrix methods. This corresponds to
the distribution of sums of independent and identically distributed
integer-valued random variables. In this paper, we discuss
the strong regularity concept of Lorentz
applied to the convolution method of summability. Later, we obtain
the summability functions and absolute summability functions of this
method.